Modular arithmetic and Euclidean Rings

90 Views Asked by At

The question posted below is from a previous exam question that I attempted as part of my revision for my upcoming number theory exam. Parts (a) and (b) were fine but I have no idea how to attempt (c) so I left it blank. I contacted my lecturer who just told me to look at the definition of a Euclidean ring, but I still don’t know how to attempt either parts of (c). Could someone please give me some hints on how to attempt them?

enter image description here